A study on different methods to change the Rayleigh number in the analysis of heat transfer

This study provides awareness about natural convection and associated non-dimensional numbers like the Prandtl number, Grashof number, Rayleigh number, and Reynolds number. The main focus of this research is to present the different methods employed to vary the Rayleigh number [Formula: see text] in an extensive range. The research concludes that changing the gravity value to obtain the considerable variation in [Formula: see text] is also a possible method for conducting the numerical analysis and observing the impact of the Rayleigh number. The validation of the numerical scheme with existing literature is provided here. An attempt is made to show that similar effects could be obtained by changing the value of gravity and the body's characteristics length. The comparative results obtained by changing length and gravity are presented which gives almost the same result [Formula: see text]error) to get the same [Formula: see text]. This presents the beauty of a non-dimensional study. Moreover, it is possible to say that in the non-dimensional analysis of engineering practice, the individual variables that are changed are not important considering the non-dimensional results.

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Publication Details

Journal
Scientific Reports
Published
2025-07-16
DOI
https://doi.org/10.1038/s41598-025-11120-9
Citations
2
Primary Topic
Heat Transfer Mechanisms
Type
article
Field-Weighted Citation Impact
1.43
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article

A study on different methods to change the Rayleigh number in the analysis of heat transfer

Jnana Ranjan Senapati, Vikrant Chandrakar, Atul Bhattad, Priyaranjan Samal et al.
2 citations
Scientific Reports
Heat Transfer Mechanisms
1.43
article

A study on different methods to change the Rayleigh number in the analysis of heat transfer

Jnana Ranjan Senapati, Vikrant Chandrakar, Atul Bhattad, Priyaranjan Samal, Abhishek Kumar Kashyap
article en
2 citations

Abstract

This study provides awareness about natural convection and associated non-dimensional numbers like the Prandtl number, Grashof number, Rayleigh number, and Reynolds number. The main focus of this research is to present the different methods employed to vary the Rayleigh number [Formula: see text] in an extensive range. The research concludes that changing the gravity value to obtain the considerable variation in [Formula: see text] is also a possible method for conducting the numerical analysis and observing the impact of the Rayleigh number. The validation of the numerical scheme with existing literature is provided here. An attempt is made to show that similar effects could be obtained by changing the value of gravity and the body's characteristics length. The comparative results obtained by changing length and gravity are presented which gives almost the same result [Formula: see text]error) to get the same [Formula: see text]. This presents the beauty of a non-dimensional study. Moreover, it is possible to say that in the non-dimensional analysis of engineering practice, the individual variables that are changed are not important considering the non-dimensional results.

Scientific ReportsVol. 15(1)
National Institute of Technology Rourkela (IN), Manipal Academy of Higher Education (IN), Koneru Lakshmaiah Education Foundation (IN)
Openalex Percentile: Top 19%
Heat Transfer Mechanisms
1.43
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